The present work aims at bridging the gap between variational quantum algorithms and practical applications. Our work has assumed that the state preparations, unitary transformations and measurements are implemented perfectly, and does not consider the effects of quantum noise from actual hardware or any potential amplification from iterative time-stepping. In our implementation, we only considered the hardware-efficient ansatz with \(R_y\)  rotation gates and controlled-NOT entanglers, and thus leave open the question about the performance of other ansatzes. Future work can include noise mitigation [1]}, [2]}, [3]}, ansatz architecture, non-linear algorithms and cost-efficient encoding.
